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Finding the Fourth Proportional to 380,294.36, 524,812.44 and 208,209.44

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Solution

The fourth proportional to 380,294.36, 524,812.44 and 208,209.44 is: 287,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,294.36 : 524,812.44 = 208,209.44 : x
  2. Step 2: Convert to fraction form
    380,294.36/524,812.44 = 208,209.44/x
  3. Step 3: Cross multiply
    380,294.36x = 524,812.44 × 208,209.44
  4. Step 4: Simplify right side
    380,294.36x = 109,270,904,237.43
  5. Step 5: Solve for x
    x = 109,270,904,237.43/380,294.36
  6. Step 6: Final answer
    x = 287,332.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.